654263362456 has 128 divisors (see below), whose sum is σ = 1366167306240. Its totient is φ = 291256358400.

The previous prime is 654263362439. The next prime is 654263362463.

654263362456 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892582666 + ... + 892583398.

It is an arithmetic number, because the mean of its divisors is an integer number (10673182080).

Almost surely, 2^654263362456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654263362456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683083653120).

654263362456 is an abundant number, since it is smaller than the sum of its proper divisors (711903943784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

654263362456 is a wasteful number, since it uses less digits than its factorization.

654263362456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 654263362456 in words is "six hundred fifty-four billion, two hundred sixty-three million, three hundred sixty-two thousand, four hundred fifty-six".